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Finding the Third Proportional to 38,991 and 84,462

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Solution

The third proportional to 38,991 and 84,462 is: 182,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,991 : 84,462 = 84,462 : x
  2. Step 2: Convert to fraction form
    38,991/84,462 = 84,462/x
  3. Step 3: Cross multiply
    38,991x = 84,462 × 84,462
  4. Step 4: Simplify right side
    38,991x = 7,133,829,444
  5. Step 5: Solve for x
    x = 7,133,829,444/38,991
  6. Step 6: Final answer
    x = 182,960.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.